Our topic is the theory of topics. My goal is to clarify and evaluate three competing traditions: what I call the way-based approach, the atom-based approach, and the subject-predicate approach. I develop criteria for adequacy using robust linguistic intuitions that feature prominently in the literature. Then I evaluate the extent to which various existing theories satisfy these constraints. I conclude that recent theories due to Parry, Perry, Lewis, and Yablo do not meet the constraints in total. I then introduce the (...) issue-based theory—a novel and natural entry in the atom-based tradition that meets our constraints. In a coda, I categorize a recent theory from Fine as atom-based, and contrast it to the issue-based theory, concluding that they are evenly matched, relative to our main criteria of adequacy. I offer tentative reasons to nevertheless favour the issue-based theory. (shrink)

What kinds of sentences with truth predicate may be inserted plausibly and consistently into the T-scheme? We state an answer in terms of dependence: those sentences which depend directly or indirectly on non-semantic states of affairs (only). In order to make this precise we introduce a theory of dependence according to which a sentence φ is said to depend on a set Φ of sentences iff the truth value of φ supervenes on the presence or absence of the sentences of (...) Φ in/from the extension of the truth predicate. Both φ and the members of Φ are allowed to contain the truth predicate. On that basis we are able define notions such as ungroundedness or self-referentiality within a classical semantics, and we can show that there is an adequate definition of truth for the class of sentences which depend on non-semantic states of affairs. (shrink)

To define new property terms, we combine already familiar ones by means of certain logical operations. Given suitable constraints, these operations may presumably include the resources of first-order logic: truth-functional sentence connectives and quantification over objects. What is far less clear is whether we can also use modal operators for this purpose. This paper clarifies what is involved in this question, and argues in favor of modal property definitions.

Different formal tools are useful for different purposes. For example, when it comes to modelling degrees of belief, probability theory is a better tool than classical logic; when it comes to modelling the truth of mathematical claims, classical logic is a better tool than probability theory. In this paper I focus on a widely used formal tool and argue that it does not provide a good model of a phenomenon of which many think it does provide a good model: I (...) shall argue that while supervaluationism may provide a model of probability of truth, or of assertability, it cannot provide a good model of truth -- supertruth cannot be truth. The core of the argument is that an adequate model of truth must render certain connectives truth-functional (at least in certain circumstances) -- and supervaluationism does not do so (in those circumstances). (shrink)

Self-reference has played a prominent role in the development of metamathematics in the past century, starting with Gödel’s first incompleteness theorem. Given the nature of this and other results in the area, the informal understanding of self-reference in arithmetic has sufficed so far. Recently, however, it has been argued that for other related issues in metamathematics and philosophical logic a precise notion of self-reference and, more generally, reference is actually required. These notions have been so far elusive and are surrounded (...) by an aura of scepticism that has kept most philosophers away. In this paper I suggest we shouldn’t give up all hope. First, I introduce the reader to these issues. Second, I discuss the conditions a good notion of reference in arithmetic must satisfy. Accordingly, I then introduce adequate notions of reference for the language of first-order arithmetic, which I show to be fruitful for addressing the aforementioned issues in metamathematics. (shrink)

Machery et al.’s 2004 x-phi project has been widely criticised for ambiguities contained in the expression ‘talk about’. Interestingly, although ‘about’ plays a prominent part in the debate, aboutness has not been a topic. This paper discusses this aspect. Alas, it must thereby add a further ambiguity to the list, the ambiguity between aboutness and reference, and thus also between subject matter and referent. It explains the distinction between intra-categorical aboutness which makes no ontological demands, and cross-categorical reference which requires (...) the referent to exist. It then analyses the 4-fold embedding contained in Machery et al.’s study and shows how the aboutness-reference distinction bears on it. (shrink)

This Critical Notice is about aboutness in logic and language. In a first part, I discuss the origin of the issue and the philosophical background to Yablo's book Aboutness (PUP 2014), which is itself the subject of the second and main part of my paper.

A de re objectual subject matter is a subject matter of the form how a1, a2 … are, whereas a de dicto objectual subject matter is a subject matter of the form how Fs are. An objectual subject matter is either a de re or de dicto objectual subject matter. This paper provides a systematic theory of aboutness towards objectual subject matters which, if correct, illuminates both the nature of intrinsicality and the general nature of aboutness. In addition to the (...) familiar distinction between partial and complete aboutness, I argue that there is a further orthogonal distinction between pervasive and hereditary aboutness, resulting in four ways in which a sentence, proposition or state of affairs can be about an objectual subject matter. I state and defend a number of basic principles concerning these varieties of aboutness as they apply to objectual subject matters and propose non-reductive analyses of them in terms of each other. I also propose an analysis of aboutness towards de re objectual subject matters in terms of aboutness towards de dicto objectual subject matters and put forward an attractive solution to a puzzle regarding aboutness due to Nelson Goodman. (shrink)

Abstract This investigation considers a number of approaches to the definition and analysis of ?culture?. It shows that although approaches to culture span a wide range of viewpoints, there are gems that can be distilled and developed. To that end, a definition of ?culture? is proposed that it is contended captures much of the positive character in what has preceded it and hopefully avoids the negative. This is followed by a discussion of some of the most important studies concerned with (...) the evolution of culture and the notions of culture that constitute the fulcrum of these investigations. Here we find almost as many approaches as there are proponents. However one stands out, of those surveyed here, as being of potentially greatest value to social scientists, the dual inheritance theory of Boyd and Richerson (1985). (shrink)